Show that the point (1,2,1) is equidistant from the planes r⋅(i^+2j^−2k^)=5 and r⋅(2i^−2j^+k^)+3=0.

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Show that the point (1, 2, 1) is equidistant from the planes {

Question

Show that the point $(1, 2, 1)$ is equidistant from the planes $r \cdot (\hat{i} + 2 \hat{j} - 2 \hat{k}) = 5$ and $r \cdot (2 \hat{i} - 2 \hat{j} + \hat{k}) + 3 = 0$ .

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Show that the point

(1, 2, 1)

is equidistant from the planes

r \cdot (\hat{i} + 2 \hat{j} - 2 \hat{k}) = 5

and

r \cdot (2 \hat{i} - 2 \hat{j} + \hat{k}) + 3 = 0

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Question Text

Show that the point

(1, 2, 1)

is equidistant from the planes

r \cdot (\hat{i} + 2 \hat{j} - 2 \hat{k}) = 5

and

r \cdot (2 \hat{i} - 2 \hat{j} + \hat{k}) + 3 = 0